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Finding the Fourth Proportional to 315,256.32, 435,070.40 and 181,128.96

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Solution

The fourth proportional to 315,256.32, 435,070.40 and 181,128.96 is: 249,967.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,256.32 : 435,070.40 = 181,128.96 : x
  2. Step 2: Convert to fraction form
    315,256.32/435,070.40 = 181,128.96/x
  3. Step 3: Cross multiply
    315,256.32x = 435,070.40 × 181,128.96
  4. Step 4: Simplify right side
    315,256.32x = 78,803,849,078.78
  5. Step 5: Solve for x
    x = 78,803,849,078.78/315,256.32
  6. Step 6: Final answer
    x = 249,967.55

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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.