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Finding the Fourth Proportional to 371,421.38, 510,588.14 and 319,547.80

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Solution

The fourth proportional to 371,421.38, 510,588.14 and 319,547.80 is: 439,278.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,421.38 : 510,588.14 = 319,547.80 : x
  2. Step 2: Convert to fraction form
    371,421.38/510,588.14 = 319,547.80/x
  3. Step 3: Cross multiply
    371,421.38x = 510,588.14 × 319,547.80
  4. Step 4: Simplify right side
    371,421.38x = 163,157,315,883.59
  5. Step 5: Solve for x
    x = 163,157,315,883.59/371,421.38
  6. Step 6: Final answer
    x = 439,278.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.