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Finding the Fourth Proportional to 520,345,806, 780,564,587.69 and 146,857,019.14

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Solution

The fourth proportional to 520,345,806, 780,564,587.69 and 146,857,019.14 is: 220,298,477.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,345,806 : 780,564,587.69 = 146,857,019.14 : x
  2. Step 2: Convert to fraction form
    520,345,806/780,564,587.69 = 146,857,019.14/x
  3. Step 3: Cross multiply
    520,345,806x = 780,564,587.69 × 146,857,019.14
  4. Step 4: Simplify right side
    520,345,806x = 114,631,388,594,396,528
  5. Step 5: Solve for x
    x = 114,631,388,594,396,528/520,345,806
  6. Step 6: Final answer
    x = 220,298,477.04

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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.