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Finding the Fourth Proportional to 497,492, 686,557.50 and 282,668.45

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Solution

The fourth proportional to 497,492, 686,557.50 and 282,668.45 is: 390,093.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,492 : 686,557.50 = 282,668.45 : x
  2. Step 2: Convert to fraction form
    497,492/686,557.50 = 282,668.45/x
  3. Step 3: Cross multiply
    497,492x = 686,557.50 × 282,668.45
  4. Step 4: Simplify right side
    497,492x = 194,068,144,360.88
  5. Step 5: Solve for x
    x = 194,068,144,360.88/497,492
  6. Step 6: Final answer
    x = 390,093.00

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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.