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Finding the Fourth Proportional to 514,591.38, 710,482.70 and 321,293.40

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Solution

The fourth proportional to 514,591.38, 710,482.70 and 321,293.40 is: 443,601.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,591.38 : 710,482.70 = 321,293.40 : x
  2. Step 2: Convert to fraction form
    514,591.38/710,482.70 = 321,293.40/x
  3. Step 3: Cross multiply
    514,591.38x = 710,482.70 × 321,293.40
  4. Step 4: Simplify right side
    514,591.38x = 228,273,400,717.71
  5. Step 5: Solve for x
    x = 228,273,400,717.71/514,591.38
  6. Step 6: Final answer
    x = 443,601.29

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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.