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Finding the Fourth Proportional to 312,053.16, 430,242.90 and 260,444.04

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Solution

The fourth proportional to 312,053.16, 430,242.90 and 260,444.04 is: 359,086.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,053.16 : 430,242.90 = 260,444.04 : x
  2. Step 2: Convert to fraction form
    312,053.16/430,242.90 = 260,444.04/x
  3. Step 3: Cross multiply
    312,053.16x = 430,242.90 × 260,444.04
  4. Step 4: Simplify right side
    312,053.16x = 112,054,199,057.32
  5. Step 5: Solve for x
    x = 112,054,199,057.32/312,053.16
  6. Step 6: Final answer
    x = 359,086.89

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1.5x scale

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.