Finding the Fourth Proportional to 742,690,257.66, 1,024,937,128.53 and 408,174,637.32
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Solution
The fourth proportional to 742,690,257.66, 1,024,937,128.53 and 408,174,637.32 is: 563,294,504.54
Step by Step Solution
- Step 1: Write the proportion equation
742,690,257.66 : 1,024,937,128.53 = 408,174,637.32 : x - Step 2: Convert to fraction form
742,690,257.66/1,024,937,128.53 = 408,174,637.32/x - Step 3: Cross multiply
742,690,257.66x = 1,024,937,128.53 × 408,174,637.32 - Step 4: Simplify right side
742,690,257.66x = 418,353,340,713,534,976 - Step 5: Solve for x
x = 418,353,340,713,534,976/742,690,257.66 - Step 6: Final answer
x = 563,294,504.54
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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.