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Finding the Fourth Proportional to 317,486.84, 473,138.29 and 307,875.32

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Solution

The fourth proportional to 317,486.84, 473,138.29 and 307,875.32 is: 458,814.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,486.84 : 473,138.29 = 307,875.32 : x
  2. Step 2: Convert to fraction form
    317,486.84/473,138.29 = 307,875.32/x
  3. Step 3: Cross multiply
    317,486.84x = 473,138.29 × 307,875.32
  4. Step 4: Simplify right side
    317,486.84x = 145,667,602,438.00
  5. Step 5: Solve for x
    x = 145,667,602,438.00/317,486.84
  6. Step 6: Final answer
    x = 458,814.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.