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Finding the Fourth Proportional to 501,697.17, 692,319.96 and 286,851.30

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Solution

The fourth proportional to 501,697.17, 692,319.96 and 286,851.30 is: 395,842.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,697.17 : 692,319.96 = 286,851.30 : x
  2. Step 2: Convert to fraction form
    501,697.17/692,319.96 = 286,851.30/x
  3. Step 3: Cross multiply
    501,697.17x = 692,319.96 × 286,851.30
  4. Step 4: Simplify right side
    501,697.17x = 198,592,880,541.95
  5. Step 5: Solve for x
    x = 198,592,880,541.95/501,697.17
  6. Step 6: Final answer
    x = 395,842.14

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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.