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Finding the Fourth Proportional to 434,547.80, 651,821.70 and 292,830.20

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Solution

The fourth proportional to 434,547.80, 651,821.70 and 292,830.20 is: 439,245.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,547.80 : 651,821.70 = 292,830.20 : x
  2. Step 2: Convert to fraction form
    434,547.80/651,821.70 = 292,830.20/x
  3. Step 3: Cross multiply
    434,547.80x = 651,821.70 × 292,830.20
  4. Step 4: Simplify right side
    434,547.80x = 190,873,078,775.34
  5. Step 5: Solve for x
    x = 190,873,078,775.34/434,547.80
  6. Step 6: Final answer
    x = 439,245.30

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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.