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Finding the Fourth Proportional to 401,579.16, 602,406.54 and 286,655.28

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Solution

The fourth proportional to 401,579.16, 602,406.54 and 286,655.28 is: 430,009.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,579.16 : 602,406.54 = 286,655.28 : x
  2. Step 2: Convert to fraction form
    401,579.16/602,406.54 = 286,655.28/x
  3. Step 3: Cross multiply
    401,579.16x = 602,406.54 × 286,655.28
  4. Step 4: Simplify right side
    401,579.16x = 172,683,015,397.53
  5. Step 5: Solve for x
    x = 172,683,015,397.53/401,579.16
  6. Step 6: Final answer
    x = 430,009.90

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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.