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Finding the Fourth Proportional to 506,153.92, 698,599.20 and 421,188.16

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Solution

The fourth proportional to 506,153.92, 698,599.20 and 421,188.16 is: 581,328.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,153.92 : 698,599.20 = 421,188.16 : x
  2. Step 2: Convert to fraction form
    506,153.92/698,599.20 = 421,188.16/x
  3. Step 3: Cross multiply
    506,153.92x = 698,599.20 × 421,188.16
  4. Step 4: Simplify right side
    506,153.92x = 294,241,711,625.47
  5. Step 5: Solve for x
    x = 294,241,711,625.47/506,153.92
  6. Step 6: Final answer
    x = 581,328.52

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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.