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Finding the Fourth Proportional to 556,385.03, 767,802.29 and 314,658.56

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Solution

The fourth proportional to 556,385.03, 767,802.29 and 314,658.56 is: 434,223.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,385.03 : 767,802.29 = 314,658.56 : x
  2. Step 2: Convert to fraction form
    556,385.03/767,802.29 = 314,658.56/x
  3. Step 3: Cross multiply
    556,385.03x = 767,802.29 × 314,658.56
  4. Step 4: Simplify right side
    556,385.03x = 241,595,557,523.80
  5. Step 5: Solve for x
    x = 241,595,557,523.80/556,385.03
  6. Step 6: Final answer
    x = 434,223.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.