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Finding the Fourth Proportional to 319,974, 480,038.76 and 98,358

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Solution

The fourth proportional to 319,974, 480,038.76 and 98,358 is: 147,560.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,974 : 480,038.76 = 98,358 : x
  2. Step 2: Convert to fraction form
    319,974/480,038.76 = 98,358/x
  3. Step 3: Cross multiply
    319,974x = 480,038.76 × 98,358
  4. Step 4: Simplify right side
    319,974x = 47,215,652,356.08
  5. Step 5: Solve for x
    x = 47,215,652,356.08/319,974
  6. Step 6: Final answer
    x = 147,560.90

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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.