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Finding the Fourth Proportional to 413,146.60, 570,264.42 and 243,435.40

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Solution

The fourth proportional to 413,146.60, 570,264.42 and 243,435.40 is: 336,012.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,146.60 : 570,264.42 = 243,435.40 : x
  2. Step 2: Convert to fraction form
    413,146.60/570,264.42 = 243,435.40/x
  3. Step 3: Cross multiply
    413,146.60x = 570,264.42 × 243,435.40
  4. Step 4: Simplify right side
    413,146.60x = 138,822,547,188.47
  5. Step 5: Solve for x
    x = 138,822,547,188.47/413,146.60
  6. Step 6: Final answer
    x = 336,012.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.