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Finding the Fourth Proportional to 506,282.52, 698,648.94 and 291,430.20

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Solution

The fourth proportional to 506,282.52, 698,648.94 and 291,430.20 is: 402,161.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,282.52 : 698,648.94 = 291,430.20 : x
  2. Step 2: Convert to fraction form
    506,282.52/698,648.94 = 291,430.20/x
  3. Step 3: Cross multiply
    506,282.52x = 698,648.94 × 291,430.20
  4. Step 4: Simplify right side
    506,282.52x = 203,607,400,313.99
  5. Step 5: Solve for x
    x = 203,607,400,313.99/506,282.52
  6. Step 6: Final answer
    x = 402,161.62

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1.5x scale

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.