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Finding the Fourth Proportional to 457,430.70, 686,534.85 and 368,784.30

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Solution

The fourth proportional to 457,430.70, 686,534.85 and 368,784.30 is: 553,489.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,430.70 : 686,534.85 = 368,784.30 : x
  2. Step 2: Convert to fraction form
    457,430.70/686,534.85 = 368,784.30/x
  3. Step 3: Cross multiply
    457,430.70x = 686,534.85 × 368,784.30
  4. Step 4: Simplify right side
    457,430.70x = 253,183,274,082.86
  5. Step 5: Solve for x
    x = 253,183,274,082.86/457,430.70
  6. Step 6: Final answer
    x = 553,489.90

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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.