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Finding the Fourth Proportional to 310,880,603.02, 428,835,384.90 and 200,872,316.02

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Solution

The fourth proportional to 310,880,603.02, 428,835,384.90 and 200,872,316.02 is: 277,087,589.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,880,603.02 : 428,835,384.90 = 200,872,316.02 : x
  2. Step 2: Convert to fraction form
    310,880,603.02/428,835,384.90 = 200,872,316.02/x
  3. Step 3: Cross multiply
    310,880,603.02x = 428,835,384.90 × 200,872,316.02
  4. Step 4: Simplify right side
    310,880,603.02x = 86,141,156,956,191,136
  5. Step 5: Solve for x
    x = 86,141,156,956,191,136/310,880,603.02
  6. Step 6: Final answer
    x = 277,087,589.64

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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.