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Finding the Fourth Proportional to 371,309.12, 512,407.16 and 201,543.40

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Solution

The fourth proportional to 371,309.12, 512,407.16 and 201,543.40 is: 278,130.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,309.12 : 512,407.16 = 201,543.40 : x
  2. Step 2: Convert to fraction form
    371,309.12/512,407.16 = 201,543.40/x
  3. Step 3: Cross multiply
    371,309.12x = 512,407.16 × 201,543.40
  4. Step 4: Simplify right side
    371,309.12x = 103,272,281,210.74
  5. Step 5: Solve for x
    x = 103,272,281,210.74/371,309.12
  6. Step 6: Final answer
    x = 278,130.20

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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.