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Finding the Fourth Proportional to 652,261,337.40, 978,392,006.10 and 221,439,833.40

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Solution

The fourth proportional to 652,261,337.40, 978,392,006.10 and 221,439,833.40 is: 332,159,750.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,261,337.40 : 978,392,006.10 = 221,439,833.40 : x
  2. Step 2: Convert to fraction form
    652,261,337.40/978,392,006.10 = 221,439,833.40/x
  3. Step 3: Cross multiply
    652,261,337.40x = 978,392,006.10 × 221,439,833.40
  4. Step 4: Simplify right side
    652,261,337.40x = 216,654,962,830,675,808
  5. Step 5: Solve for x
    x = 216,654,962,830,675,808/652,261,337.40
  6. Step 6: Final answer
    x = 332,159,750.10

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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.