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Finding the Fourth Proportional to 472,971, 652,713.75 and 258,124.80

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Solution

The fourth proportional to 472,971, 652,713.75 and 258,124.80 is: 356,219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,971 : 652,713.75 = 258,124.80 : x
  2. Step 2: Convert to fraction form
    472,971/652,713.75 = 258,124.80/x
  3. Step 3: Cross multiply
    472,971x = 652,713.75 × 258,124.80
  4. Step 4: Simplify right side
    472,971x = 168,481,606,176
  5. Step 5: Solve for x
    x = 168,481,606,176/472,971
  6. Step 6: Final answer
    x = 356,219.74

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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.