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Finding the Fourth Proportional to 1,315,718.32, 1,815,678.36 and 742,746.16

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Solution

The fourth proportional to 1,315,718.32, 1,815,678.36 and 742,746.16 is: 1,024,982.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315,718.32 : 1,815,678.36 = 742,746.16 : x
  2. Step 2: Convert to fraction form
    1,315,718.32/1,815,678.36 = 742,746.16/x
  3. Step 3: Cross multiply
    1,315,718.32x = 1,815,678.36 × 742,746.16
  4. Step 4: Simplify right side
    1,315,718.32x = 1,348,588,129,685.10
  5. Step 5: Solve for x
    x = 1,348,588,129,685.10/1,315,718.32
  6. Step 6: Final answer
    x = 1,024,982.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.