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Finding the Fourth Proportional to 539,128.40, 807,009.76 and 397,133.76

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Solution

The fourth proportional to 539,128.40, 807,009.76 and 397,133.76 is: 594,461.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,128.40 : 807,009.76 = 397,133.76 : x
  2. Step 2: Convert to fraction form
    539,128.40/807,009.76 = 397,133.76/x
  3. Step 3: Cross multiply
    539,128.40x = 807,009.76 × 397,133.76
  4. Step 4: Simplify right side
    539,128.40x = 320,490,820,345.50
  5. Step 5: Solve for x
    x = 320,490,820,345.50/539,128.40
  6. Step 6: Final answer
    x = 594,461.02

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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.