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Finding the Fourth Proportional to 313,073,607.60, 469,610,411.40 and 286,288,981.20

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Solution

The fourth proportional to 313,073,607.60, 469,610,411.40 and 286,288,981.20 is: 429,433,471.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,073,607.60 : 469,610,411.40 = 286,288,981.20 : x
  2. Step 2: Convert to fraction form
    313,073,607.60/469,610,411.40 = 286,288,981.20/x
  3. Step 3: Cross multiply
    313,073,607.60x = 469,610,411.40 × 286,288,981.20
  4. Step 4: Simplify right side
    313,073,607.60x = 134,444,286,240,618,848
  5. Step 5: Solve for x
    x = 134,444,286,240,618,848/313,073,607.60
  6. Step 6: Final answer
    x = 429,433,471.80

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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.