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Finding the Fourth Proportional to 314,964.59, 472,448.68 and 78,307.27

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Solution

The fourth proportional to 314,964.59, 472,448.68 and 78,307.27 is: 117,461.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,964.59 : 472,448.68 = 78,307.27 : x
  2. Step 2: Convert to fraction form
    314,964.59/472,448.68 = 78,307.27/x
  3. Step 3: Cross multiply
    314,964.59x = 472,448.68 × 78,307.27
  4. Step 4: Simplify right side
    314,964.59x = 36,996,164,969.01
  5. Step 5: Solve for x
    x = 36,996,164,969.01/314,964.59
  6. Step 6: Final answer
    x = 117,461.35

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1.5x scale

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.