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Finding the Fourth Proportional to 290,328,477.30, 435,492,715.95 and 256,316,253.30

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Solution

The fourth proportional to 290,328,477.30, 435,492,715.95 and 256,316,253.30 is: 384,474,379.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,328,477.30 : 435,492,715.95 = 256,316,253.30 : x
  2. Step 2: Convert to fraction form
    290,328,477.30/435,492,715.95 = 256,316,253.30/x
  3. Step 3: Cross multiply
    290,328,477.30x = 435,492,715.95 × 256,316,253.30
  4. Step 4: Simplify right side
    290,328,477.30x = 111,623,861,291,745,152
  5. Step 5: Solve for x
    x = 111,623,861,291,745,152/290,328,477.30
  6. Step 6: Final answer
    x = 384,474,379.95

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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.