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Finding the Fourth Proportional to 210,319.50, 315,479.93 and 52,547.97

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Solution

The fourth proportional to 210,319.50, 315,479.93 and 52,547.97 is: 78,822.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,319.50 : 315,479.93 = 52,547.97 : x
  2. Step 2: Convert to fraction form
    210,319.50/315,479.93 = 52,547.97/x
  3. Step 3: Cross multiply
    210,319.50x = 315,479.93 × 52,547.97
  4. Step 4: Simplify right side
    210,319.50x = 16,577,829,634.50
  5. Step 5: Solve for x
    x = 16,577,829,634.50/210,319.50
  6. Step 6: Final answer
    x = 78,822.12

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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.