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Finding the Fourth Proportional to 312,874,808.40, 438,931,724.40 and 312,874,808.40

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Solution

The fourth proportional to 312,874,808.40, 438,931,724.40 and 312,874,808.40 is: 438,931,724.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,874,808.40 : 438,931,724.40 = 312,874,808.40 : x
  2. Step 2: Convert to fraction form
    312,874,808.40/438,931,724.40 = 312,874,808.40/x
  3. Step 3: Cross multiply
    312,874,808.40x = 438,931,724.40 × 312,874,808.40
  4. Step 4: Simplify right side
    312,874,808.40x = 137,330,679,172,331,584
  5. Step 5: Solve for x
    x = 137,330,679,172,331,584/312,874,808.40
  6. Step 6: Final answer
    x = 438,931,724.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.