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Finding the Fourth Proportional to 342,864.70, 478,829.60 and 342,864.70

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Solution

The fourth proportional to 342,864.70, 478,829.60 and 342,864.70 is: 478,829.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,864.70 : 478,829.60 = 342,864.70 : x
  2. Step 2: Convert to fraction form
    342,864.70/478,829.60 = 342,864.70/x
  3. Step 3: Cross multiply
    342,864.70x = 478,829.60 × 342,864.70
  4. Step 4: Simplify right side
    342,864.70x = 164,173,767,155.12
  5. Step 5: Solve for x
    x = 164,173,767,155.12/342,864.70
  6. Step 6: Final answer
    x = 478,829.60

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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.