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Finding the Fourth Proportional to 314,543.48, 469,534.70 and 291,128.90

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Solution

The fourth proportional to 314,543.48, 469,534.70 and 291,128.90 is: 434,582.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,543.48 : 469,534.70 = 291,128.90 : x
  2. Step 2: Convert to fraction form
    314,543.48/469,534.70 = 291,128.90/x
  3. Step 3: Cross multiply
    314,543.48x = 469,534.70 × 291,128.90
  4. Step 4: Simplify right side
    314,543.48x = 136,695,120,722.83
  5. Step 5: Solve for x
    x = 136,695,120,722.83/314,543.48
  6. Step 6: Final answer
    x = 434,582.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.