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Finding the Fourth Proportional to 611,985.84, 918,252 and 312,308.64

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Solution

The fourth proportional to 611,985.84, 918,252 and 312,308.64 is: 468,602.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,985.84 : 918,252 = 312,308.64 : x
  2. Step 2: Convert to fraction form
    611,985.84/918,252 = 312,308.64/x
  3. Step 3: Cross multiply
    611,985.84x = 918,252 × 312,308.64
  4. Step 4: Simplify right side
    611,985.84x = 286,778,033,297.28
  5. Step 5: Solve for x
    x = 286,778,033,297.28/611,985.84
  6. Step 6: Final answer
    x = 468,602.40

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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.