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Finding the Fourth Proportional to 289,702,871.60, 434,554,307.40 and 257,958,129.20

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Solution

The fourth proportional to 289,702,871.60, 434,554,307.40 and 257,958,129.20 is: 386,937,193.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,702,871.60 : 434,554,307.40 = 257,958,129.20 : x
  2. Step 2: Convert to fraction form
    289,702,871.60/434,554,307.40 = 257,958,129.20/x
  3. Step 3: Cross multiply
    289,702,871.60x = 434,554,307.40 × 257,958,129.20
  4. Step 4: Simplify right side
    289,702,871.60x = 112,096,816,172,705,712
  5. Step 5: Solve for x
    x = 112,096,816,172,705,712/289,702,871.60
  6. Step 6: Final answer
    x = 386,937,193.80

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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.