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Finding the Fourth Proportional to 509,870,572.74, 764,762,049.36 and 310,398,088.35

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Solution

The fourth proportional to 509,870,572.74, 764,762,049.36 and 310,398,088.35 is: 465,570,462.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,870,572.74 : 764,762,049.36 = 310,398,088.35 : x
  2. Step 2: Convert to fraction form
    509,870,572.74/764,762,049.36 = 310,398,088.35/x
  3. Step 3: Cross multiply
    509,870,572.74x = 764,762,049.36 × 310,398,088.35
  4. Step 4: Simplify right side
    509,870,572.74x = 237,380,678,163,972,352
  5. Step 5: Solve for x
    x = 237,380,678,163,972,352/509,870,572.74
  6. Step 6: Final answer
    x = 465,570,462.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.