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Finding the Fourth Proportional to 470,009.60, 705,014.40 and 292,425.20

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Solution

The fourth proportional to 470,009.60, 705,014.40 and 292,425.20 is: 438,637.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,009.60 : 705,014.40 = 292,425.20 : x
  2. Step 2: Convert to fraction form
    470,009.60/705,014.40 = 292,425.20/x
  3. Step 3: Cross multiply
    470,009.60x = 705,014.40 × 292,425.20
  4. Step 4: Simplify right side
    470,009.60x = 206,163,976,922.88
  5. Step 5: Solve for x
    x = 206,163,976,922.88/470,009.60
  6. Step 6: Final answer
    x = 438,637.80

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1.5x scale

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.