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Finding the Fourth Proportional to 422,596,915.20, 633,139,545.60 and 260,849,894.40

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Solution

The fourth proportional to 422,596,915.20, 633,139,545.60 and 260,849,894.40 is: 390,808,303.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,596,915.20 : 633,139,545.60 = 260,849,894.40 : x
  2. Step 2: Convert to fraction form
    422,596,915.20/633,139,545.60 = 260,849,894.40/x
  3. Step 3: Cross multiply
    422,596,915.20x = 633,139,545.60 × 260,849,894.40
  4. Step 4: Simplify right side
    422,596,915.20x = 165,154,383,610,224,000
  5. Step 5: Solve for x
    x = 165,154,383,610,224,000/422,596,915.20
  6. Step 6: Final answer
    x = 390,808,303.78

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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.