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Finding the Fourth Proportional to 657,492, 986,266.22 and 258,219.11

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Solution

The fourth proportional to 657,492, 986,266.22 and 258,219.11 is: 387,339.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,492 : 986,266.22 = 258,219.11 : x
  2. Step 2: Convert to fraction form
    657,492/986,266.22 = 258,219.11/x
  3. Step 3: Cross multiply
    657,492x = 986,266.22 × 258,219.11
  4. Step 4: Simplify right side
    657,492x = 254,672,779,329.04
  5. Step 5: Solve for x
    x = 254,672,779,329.04/657,492
  6. Step 6: Final answer
    x = 387,339.74

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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.