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Finding the Fourth Proportional to 369,577.47, 510,014.43 and 208,433.91

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Solution

The fourth proportional to 369,577.47, 510,014.43 and 208,433.91 is: 287,637.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,577.47 : 510,014.43 = 208,433.91 : x
  2. Step 2: Convert to fraction form
    369,577.47/510,014.43 = 208,433.91/x
  3. Step 3: Cross multiply
    369,577.47x = 510,014.43 × 208,433.91
  4. Step 4: Simplify right side
    369,577.47x = 106,304,301,801.32
  5. Step 5: Solve for x
    x = 106,304,301,801.32/369,577.47
  6. Step 6: Final answer
    x = 287,637.40

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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.