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Finding the Fourth Proportional to 310,547.76, 465,719.52 and 97,315.20

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Solution

The fourth proportional to 310,547.76, 465,719.52 and 97,315.20 is: 145,940.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,547.76 : 465,719.52 = 97,315.20 : x
  2. Step 2: Convert to fraction form
    310,547.76/465,719.52 = 97,315.20/x
  3. Step 3: Cross multiply
    310,547.76x = 465,719.52 × 97,315.20
  4. Step 4: Simplify right side
    310,547.76x = 45,321,588,232.70
  5. Step 5: Solve for x
    x = 45,321,588,232.70/310,547.76
  6. Step 6: Final answer
    x = 145,940.80

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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.