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Finding the Fourth Proportional to 506,543.31, 759,437.70 and 306,815.53

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Solution

The fourth proportional to 506,543.31, 759,437.70 and 306,815.53 is: 459,994.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,543.31 : 759,437.70 = 306,815.53 : x
  2. Step 2: Convert to fraction form
    506,543.31/759,437.70 = 306,815.53/x
  3. Step 3: Cross multiply
    506,543.31x = 759,437.70 × 306,815.53
  4. Step 4: Simplify right side
    506,543.31x = 233,007,280,427.48
  5. Step 5: Solve for x
    x = 233,007,280,427.48/506,543.31
  6. Step 6: Final answer
    x = 459,994.78

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1.5x scale

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.