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Finding the Fourth Proportional to 314,953.80, 472,430.70 and 285,429.30

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Solution

The fourth proportional to 314,953.80, 472,430.70 and 285,429.30 is: 428,143.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,953.80 : 472,430.70 = 285,429.30 : x
  2. Step 2: Convert to fraction form
    314,953.80/472,430.70 = 285,429.30/x
  3. Step 3: Cross multiply
    314,953.80x = 472,430.70 × 285,429.30
  4. Step 4: Simplify right side
    314,953.80x = 134,845,563,999.51
  5. Step 5: Solve for x
    x = 134,845,563,999.51/314,953.80
  6. Step 6: Final answer
    x = 428,143.95

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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.