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Finding the Fourth Proportional to 401,607.10, 602,430.36 and 102,090.16

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Solution

The fourth proportional to 401,607.10, 602,430.36 and 102,090.16 is: 153,140.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,607.10 : 602,430.36 = 102,090.16 : x
  2. Step 2: Convert to fraction form
    401,607.10/602,430.36 = 102,090.16/x
  3. Step 3: Cross multiply
    401,607.10x = 602,430.36 × 102,090.16
  4. Step 4: Simplify right side
    401,607.10x = 61,502,211,841.26
  5. Step 5: Solve for x
    x = 61,502,211,841.26/401,607.10
  6. Step 6: Final answer
    x = 153,140.25

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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.