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Finding the Fourth Proportional to 278,316,230.70, 417,474,346.05 and 278,316,230.70

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Solution

The fourth proportional to 278,316,230.70, 417,474,346.05 and 278,316,230.70 is: 417,474,346.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,316,230.70 : 417,474,346.05 = 278,316,230.70 : x
  2. Step 2: Convert to fraction form
    278,316,230.70/417,474,346.05 = 278,316,230.70/x
  3. Step 3: Cross multiply
    278,316,230.70x = 417,474,346.05 × 278,316,230.70
  4. Step 4: Simplify right side
    278,316,230.70x = 116,189,886,406,583,440
  5. Step 5: Solve for x
    x = 116,189,886,406,583,440/278,316,230.70
  6. Step 6: Final answer
    x = 417,474,346.05

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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.