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Finding the Fourth Proportional to 514,737.62, 710,356.14 and 310,748.69

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Solution

The fourth proportional to 514,737.62, 710,356.14 and 310,748.69 is: 428,844.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,737.62 : 710,356.14 = 310,748.69 : x
  2. Step 2: Convert to fraction form
    514,737.62/710,356.14 = 310,748.69/x
  3. Step 3: Cross multiply
    514,737.62x = 710,356.14 × 310,748.69
  4. Step 4: Simplify right side
    514,737.62x = 220,742,242,416.79
  5. Step 5: Solve for x
    x = 220,742,242,416.79/514,737.62
  6. Step 6: Final answer
    x = 428,844.20

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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.