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Finding the Fourth Proportional to 201,643.60, 302,465.40 and 191,802.10

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Solution

The fourth proportional to 201,643.60, 302,465.40 and 191,802.10 is: 287,703.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,643.60 : 302,465.40 = 191,802.10 : x
  2. Step 2: Convert to fraction form
    201,643.60/302,465.40 = 191,802.10/x
  3. Step 3: Cross multiply
    201,643.60x = 302,465.40 × 191,802.10
  4. Step 4: Simplify right side
    201,643.60x = 58,013,498,897.34
  5. Step 5: Solve for x
    x = 58,013,498,897.34/201,643.60
  6. Step 6: Final answer
    x = 287,703.15

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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.