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Finding the Fourth Proportional to 898,836,602.40, 1,348,292,228.40 and 285,403,514.40

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Solution

The fourth proportional to 898,836,602.40, 1,348,292,228.40 and 285,403,514.40 is: 428,117,123.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,836,602.40 : 1,348,292,228.40 = 285,403,514.40 : x
  2. Step 2: Convert to fraction form
    898,836,602.40/1,348,292,228.40 = 285,403,514.40/x
  3. Step 3: Cross multiply
    898,836,602.40x = 1,348,292,228.40 × 285,403,514.40
  4. Step 4: Simplify right side
    898,836,602.40x = 384,807,340,423,567,488
  5. Step 5: Solve for x
    x = 384,807,340,423,567,488/898,836,602.40
  6. Step 6: Final answer
    x = 428,117,123.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.