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Finding the Fourth Proportional to 640,009.40, 960,014.10 and 402,582.20

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Solution

The fourth proportional to 640,009.40, 960,014.10 and 402,582.20 is: 603,873.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,009.40 : 960,014.10 = 402,582.20 : x
  2. Step 2: Convert to fraction form
    640,009.40/960,014.10 = 402,582.20/x
  3. Step 3: Cross multiply
    640,009.40x = 960,014.10 × 402,582.20
  4. Step 4: Simplify right side
    640,009.40x = 386,484,588,409.02
  5. Step 5: Solve for x
    x = 386,484,588,409.02/640,009.40
  6. Step 6: Final answer
    x = 603,873.30

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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.