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Finding the Fourth Proportional to 475,397.80, 713,096.70 and 208,875.40

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Solution

The fourth proportional to 475,397.80, 713,096.70 and 208,875.40 is: 313,313.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,397.80 : 713,096.70 = 208,875.40 : x
  2. Step 2: Convert to fraction form
    475,397.80/713,096.70 = 208,875.40/x
  3. Step 3: Cross multiply
    475,397.80x = 713,096.70 × 208,875.40
  4. Step 4: Simplify right side
    475,397.80x = 148,948,358,451.18
  5. Step 5: Solve for x
    x = 148,948,358,451.18/475,397.80
  6. Step 6: Final answer
    x = 313,313.10

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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.