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Finding the Fourth Proportional to 313,686.56, 470,532 and 77,031.20

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Solution

The fourth proportional to 313,686.56, 470,532 and 77,031.20 is: 115,547.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,686.56 : 470,532 = 77,031.20 : x
  2. Step 2: Convert to fraction form
    313,686.56/470,532 = 77,031.20/x
  3. Step 3: Cross multiply
    313,686.56x = 470,532 × 77,031.20
  4. Step 4: Simplify right side
    313,686.56x = 36,245,644,598.40
  5. Step 5: Solve for x
    x = 36,245,644,598.40/313,686.56
  6. Step 6: Final answer
    x = 115,547.33

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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.