Finding the Fourth Proportional to 430,897,723.84, 646,437,373.67 and 139,742,143.95
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Solution
The fourth proportional to 430,897,723.84, 646,437,373.67 and 139,742,143.95 is: 209,642,658.87
Step by Step Solution
- Step 1: Write the proportion equation
430,897,723.84 : 646,437,373.67 = 139,742,143.95 : x - Step 2: Convert to fraction form
430,897,723.84/646,437,373.67 = 139,742,143.95/x - Step 3: Cross multiply
430,897,723.84x = 646,437,373.67 × 139,742,143.95 - Step 4: Simplify right side
430,897,723.84x = 90,334,544,528,044,032 - Step 5: Solve for x
x = 90,334,544,528,044,032/430,897,723.84 - Step 6: Final answer
x = 209,642,658.87
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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.