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Finding the Fourth Proportional to 507,830.60, 761,940.30 and 499,860.20

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Solution

The fourth proportional to 507,830.60, 761,940.30 and 499,860.20 is: 749,981.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,830.60 : 761,940.30 = 499,860.20 : x
  2. Step 2: Convert to fraction form
    507,830.60/761,940.30 = 499,860.20/x
  3. Step 3: Cross multiply
    507,830.60x = 761,940.30 × 499,860.20
  4. Step 4: Simplify right side
    507,830.60x = 380,863,630,746.06
  5. Step 5: Solve for x
    x = 380,863,630,746.06/507,830.60
  6. Step 6: Final answer
    x = 749,981.65

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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.