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Finding the Fourth Proportional to 380,407.61, 570,397.65 and 260,599.65

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Solution

The fourth proportional to 380,407.61, 570,397.65 and 260,599.65 is: 390,753.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,407.61 : 570,397.65 = 260,599.65 : x
  2. Step 2: Convert to fraction form
    380,407.61/570,397.65 = 260,599.65/x
  3. Step 3: Cross multiply
    380,407.61x = 570,397.65 × 260,599.65
  4. Step 4: Simplify right side
    380,407.61x = 148,645,429,641.07
  5. Step 5: Solve for x
    x = 148,645,429,641.07/380,407.61
  6. Step 6: Final answer
    x = 390,753.04

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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.