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Finding the Fourth Proportional to 456,214.40, 685,243.20 and 440,547.20

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Solution

The fourth proportional to 456,214.40, 685,243.20 and 440,547.20 is: 661,710.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,214.40 : 685,243.20 = 440,547.20 : x
  2. Step 2: Convert to fraction form
    456,214.40/685,243.20 = 440,547.20/x
  3. Step 3: Cross multiply
    456,214.40x = 685,243.20 × 440,547.20
  4. Step 4: Simplify right side
    456,214.40x = 301,881,973,079.04
  5. Step 5: Solve for x
    x = 301,881,973,079.04/456,214.40
  6. Step 6: Final answer
    x = 661,710.75

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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.