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Finding the Fourth Proportional to 420,468.30, 630,702.45 and 346,657.05

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Solution

The fourth proportional to 420,468.30, 630,702.45 and 346,657.05 is: 519,985.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,468.30 : 630,702.45 = 346,657.05 : x
  2. Step 2: Convert to fraction form
    420,468.30/630,702.45 = 346,657.05/x
  3. Step 3: Cross multiply
    420,468.30x = 630,702.45 × 346,657.05
  4. Step 4: Simplify right side
    420,468.30x = 218,637,450,744.77
  5. Step 5: Solve for x
    x = 218,637,450,744.77/420,468.30
  6. Step 6: Final answer
    x = 519,985.58

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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.