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Finding the Fourth Proportional to 602,051.64, 830,113.02 and 387,200.76

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Solution

The fourth proportional to 602,051.64, 830,113.02 and 387,200.76 is: 533,875.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,051.64 : 830,113.02 = 387,200.76 : x
  2. Step 2: Convert to fraction form
    602,051.64/830,113.02 = 387,200.76/x
  3. Step 3: Cross multiply
    602,051.64x = 830,113.02 × 387,200.76
  4. Step 4: Simplify right side
    602,051.64x = 321,420,392,229.90
  5. Step 5: Solve for x
    x = 321,420,392,229.90/602,051.64
  6. Step 6: Final answer
    x = 533,875.12

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Double scale
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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.